Abstract
The principal aim of field programs is to collect information which will lead to the detection of mineral deposits. There are two approaches to the detection problem: one is direct and the other one indirect; they are used simultaneously or sequentially to best advantage.
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Bibliography for Chapter 4
AGOCS, W.B., 1955, Line spacing effect and determination of optimum spacing illustrated by the Marmora, Ontario, magnetic anomaly; Geophys., B.20, N.4, pp.871–885.
BELLMAN, R.E. and DREYFUS, S.E., 1962, Applied Dynamic Programming; Princeton University Press, New Jersey.
CELASUN, M.M., 1964, The allocation of funds to reconnaissance drilling prospects; Colorado Sch. of Mines Quarterly, V.59, No.4, pp.169–186.
CHUNG, C.F., 1981, Application of the Buffon needle problem and its extensions to parallel-line search sampling schemes; Jour. Math. Geol., V.13, No.5, pp.371–390.
DE GEOFFROY, J. and WU, S.M., 1970, Design of an optimal sampling plan for regional geochemical surveys; Econ. Geol., V.65, pp.340–347
DREW, L.J., 1967, Grid-drilling exploration and its application to the search for petroleum; Econ. Geol., V.62, pp.698–710.
DREW, L.J., 1979, Pattern drilling exploration: optimum pattern types and hole spacing when searching for elliptical targets, Jour.Math.Geol., V.11, No.2, pp.223–254.
ELLIS, R.M. and BLACKWELL, J.G., 1959, Optimum prospecting plans in mineral exploration; Geophys., V.24, No.2, pp.344–358.
GRAYSON, C.J. Jr., 1960, Decisions under uncertainty, drilling decisions by oil and gas operators; Graduate School of Business Administration, Division of Research, Harvard University, Boston, Mass.
GRIFFITHS, J.C., 1966, Grid spacing and success ratio in exploration for natural resources; Pennsylvania State Univ., Min.Ind.Expmt.Stat., Special Publ.No.1.
HARBAUGH, S.W. and BONHAM-CARTER, G.R., 1970, Computer simulation in Geology, (Chapter 8); J. Wiley, New York.
JACOBS, O.L. R., 1967, An introduction to Dynamic Programming: the theory of multistage decision processes; Chapman and Hall, London, U.K.
KENDALL, M.G. and MORAN, P.A.P., 1963, Geometrical probability; Chas. Griffith, London, U.K.
KOCH, G.S. and LINK, R.F., 1970, Statistical analysis of geological data, V.2, (Chpts. 12 &14); J. Wiley, New York, USA.
McCAMMON, R.B., 1977, Target intersection probabilities for parallel line and continuous grid types of search; Jour. Math. Geol., V.9, No.4, pp.369–382.
MICKEY, M.R. and JESPERSEN, H.W., 1954, Some statistical problems of uranium exploration; U.S. Atomic Energy Commission Report, RME-3105.
PETERSON, E.L., 1961, Statistical analysis and optimization of systems; John Wiley, New York.
SAYINSKII, I.D., 1965, Probability tables for locating elliptical underground masses with a rectangular grid; Consult. Bureau, New York.
SHURYGIN, A.M., 1976, Discovery of deposits of given size by boreholes with pre-selected probability; Jour. Nath, Geol.., V.8, No.1, pp.85–88.
SHURYGIN, A.M., 1976, The probability of finding deposits and some optimal search grids; Jour.Math.Geol., V.8, No.3, pp.323–330.
SINCLAIR, A.J., 1975, Some considerations regarding grid orientation and sample spacing, in “Geochemical Exploration 1974”, Elliot, I.L. and Fletcher, W.K., (Eds.), Elsevier, Amsterdam, Holland.
SINCER, D.A. and WICKHAM, F.E., 1969, Probability tables for locating elliptical targets with square, rectangular, and hexagonal point-nets; Pennsylvania State Univ.Miner.Sc.Expmt.Stat. Special Publ. No.1-69.
SINGER, D.A., 1972, ELLIPGRID, a FORTRAN IV program for calculating the probability of success in locating elliptical targets with square, rectangular, and hexagonal grids; Geocom Programs, No.4, pp.1–16.
SINGER, D.A., 1975, Relative efficiencies for square and triangular grids in the search for elliptically-shaped resource targets; U.S. Geol. Survey, Jour. of Research, V.3, No.2, pp.163–167.
SINGER, D.A., 1976, RESIN, a FORTRAN IV program for determining the area of influence of samples or drill holes in resource target search; Computers and Geosciences, V.2, No.2, pp.249–260.
SIVAZLIAN, B.D. and STANFEL, L.E., 1975, Optimization techniques in Operations Research; Prentice-Hall, Englewood Cliffs, N.J.
SLICHTER, L.B., 1955, Geophysics applied to prospecting of ores; Economic Geol., Jubilee Vol., No.50, pp.885–969.
SOLOMON, H., 1978, Geometric probability; Soc.Ind.Appl Math. (S.I.A.M.), Pennsylvania, USA.
STONE, L.D., 1975, Theory of optimal search; Academic Press, New York, USA.
TRUEMAN, R.E., 1974, An introduction to quantitative methods for decision-making, (Chpt.4); Holt-Rinehart-Winston, New York, USA.
WIGNALL, T.K. and DE GEOFFROY, J., 1985, OPTGRID, an improved program in BASIC for locating elliptically shaped resource targets by ground surveys and drilling programs on square grids; Jour.Math.Geol. (in press).
WILDE, D.J., 1964, Optimum seeking methods; Prentice Hall, Englewood Cliffs, N.J.
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Wignall, T.K., De Geoffroy, J. (1987). Probabilistic Models for the Optimal Detection of Ore Deposits by Airborne and Ground Exploration Programs. In: Statistical Models for Optimizing Mineral Exploration. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1861-3_4
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DOI: https://doi.org/10.1007/978-1-4613-1861-3_4
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